Hidden Fermi Liquid, Scattering Rate Saturation and Nernst Effect: a DMFT Perspective

Abstract

We investigate the transport properties of a correlated metal within dynamical mean field theory. Canonical Fermi liquid behavior emerges only below a very low temperature scale $T_{FL}$. Surprisingly the quasiparticle scattering rate follows a quadratic temperature dependence up to much higher temperatures and crosses over to saturated behavior around a temperature scale $T_{sat}$. We identify these quasiparticles as constituents of the hidden Fermi liquid. The non-Fermi liquid transport above $T_{FL}$, in particular the linear-in-$T$ resistivity, is shown to be a result of a strongly temperature dependent band dispersion. We derive simple expressions for resistivity, Hall angle, thermoelectric power and Nernst coefficient in terms of a temperature dependent renormalized band structure and the quasiparticle scattering rate. We discuss possible tests of the DMFT picture of transport using ac measurements.

5 pages, 3 figures and Supplementary Material

References in corpus (10)

• Electrodynamics of Correlated Electron Materials
• Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
• The coherence-incoherence crossover and the mass-renormalization puzzles in Sr2RuO4
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• The Nernst effect and the boundaries of the Fermi liquid picture
• Quasiparticles at the verge of localization near the Mott metal-insulator transition in a two-dimensional material
• Doped Mott insulator as the origin of heavy Fermion behavior in LiV2O4
• Extremely Correlated Fermi Liquids
• Hidden Fermi Liquid: The Secret of High Tc Cuprates

Cited by in corpus (60)

• Bad metallic transport in a cold atom Fermi-Hubbard system
• Planckian Dissipation in Metals
• Strange metallicity in the doped Hubbard model
• Electronic correlations, magnetism and Hund's rule coupling in the ruthenium perovskites SrRuO${}_3$ and CaRuO${}_3$
• Conductivity in the square lattice Hubbard model at high temperatures: importance of vertex corrections
• Thermopower and Entropy: lessons from Sr${}_2$RuO${}_4$
• Transport properties of Metallic Ruthenates: a DFT+DMFT investigation
• Optical properties of the infinite-layer La${}_{1-x}$Sr${}_x$NiO${}_2$ and hidden Hund's physics
• Angle-resolved photoemission spectroscopy of a Fermi-Hubbard system
• Transport and Optical Conductivity in the Hubbard Model: A High-Temperature Expansion Perspective
• Charge transport in the Hubbard model at high temperatures: triangular versus square lattice
• Non-Fermi liquid phase and linear-in-temperature scattering rate in overdoped two dimensional Hubbard model
• Shining light on transition metal oxides: unveiling the hidden Fermi Liquid
• Bad-Metallic Behavior of Doped Mott Insulators
• Seebeck coefficient in a cuprate superconductor: particle-hole asymmetry in the strange metal phase and Fermi surface transformation in the pseudogap phase
• Absence of a quantum limit to charge diffusion in bad metals
• Non-quasiparticle transport and resistivity saturation: A view from the large-N limit
• Giant Nernst effect in the crossover between Fermi liquid and strange metal
• Hall coefficient signals orbital differentiation in the Hund's metal Sr${}_2$RuO${}_4$
• Fermi liquid theory and divergences of the two-particle irreducible vertex in the periodic Anderson lattice
• Revealing the Hidden Heavy Fermi Liquid in CaRuO3
• Optical conductivity of a two-dimensional metal at the onset of spin-density-wave order
• Skewed Non-Fermi Liquids and the Seebeck Effect
• Combining Electron-Phonon and Dynamical Mean-Field Theory Calculations of Correlated Materials: Transport in the Correlated Metal Sr${}_2$RuO${}_4$
• Transport functions for hypercubic and Bethe lattices
• Resistivity saturation in Kondo insulators
• Low energy physics of the t-J model in $d=\infty$ using Extremely Correlated Fermi Liquid theory: Cutoff Second Order Equations
• Dynamical Mean-Field Theory of Strongly Correlated Electron Systems
• The fate of quasiparticles at high-temperature
• Maximum entropy analytic continuation for frequency-dependent transport coefficients with non-positive spectral weight
• A Strange Metal from Gutzwiller correlations in infinite dimensions
• Low quasiparticle coherence temperature in the one band-Hubbard model: A slave-boson approach
• Extremely Correlated Fermi Liquid theory of the $t$-$J$ model in 2 dimensions: Low Energy properties
• Non-Fermi liquid scattering against an emergent Bose liquid: manifestations in the kink and other exotic quasiparticle behaviors in the normal-state cuprate superconductors
• Extremely correlated fermi liquid of $t$-$J$ model in two dimensions
• Intertwined states at finite temperatures in the Hubbard model
• Multi-orbital Effects on Thermoelectric Properties of Strongly Correlated Materials
• Hall map and breakdown of Fermi liquid theory in the vicinity of a Mott insulator
• Quantum Critical Point revisited by the Dynamical Mean Field Theory
• Non-Fermi-liquid behavior and doping asymmetry in an organic Mott insulator interface
• A Strange Metal from Gutzwiller correlations in infinite dimensions II: Transverse Transport, Optical Response and Rise of Two Relaxation Rates
• Orbital-selective bad metals due to Hund's rule and orbital anisotropy: a finite-temperature slave-spin treatment of the two-band Hubbard model
• LinReTraCe: The Linear Response Transport Centre
• The t-t'-J model in one dimension using extremely correlated Fermi liquid theory and time dependent density matrix renormalization group
• Reversal of particle-hole scattering-rate asymmetry in Anderson impurity model
• Dynamical mean-field theory for Rényi entanglement entropy and mutual Information in Hubbard Model
• Microscopic theory on charge transports of a correlated multiorbital system
• Twisting the Hubbard model into the Momentum-Mixing Hatsugai-Kohmoto Model
• Quantum Transport Theory of Strongly Correlated Matter
• Ubiquity of Linear Resistivity at Intermediate Temperature in Bad Metals
• Interaction and temperature effects on the magneto-optical conductivity of Weyl liquids
• Many-body effects on the resistivity of a multiorbital system beyond Landau's Fermi-liquid theory
• Extremely Correlated Fermi Liquid theory for $U=\infty$, $d=\infty$ Hubbard model to $\mathcal{O}({\lambda }^3)$
• Theory of anisotropic elastoresistivity of two-dimensional extremely strongly correlated metals
• Strongly correlated superconductivity
• Dynamical $t/U$ Expansion of the Doped Hubbard Model
• Natural orbital impurity solver for real-frequency properties at finite temperature
• Mott domain walls: a (strongly) non-Fermi liquid state of matter
• Incoherent transport in a classical spin liquid
• Quantum critical scaling of the conductivity tensor at the metal-insulator transition in Nb${}_{1-x}$Ti${}_x$N